Saurashtra were 21 for the loss of two wickets in their second innings with S Jogiyani (5) and V Vegda (0) being the two not out batsmen when stumps were drawn for the day.
Earlier, resuming at their overnight score 98 for four, Orissa were all out for 349 with P Mullick cracking 123 runs off 203 balls which included 17 fours and a six while R R Parida (96) missed his century by just four runs.
Both Parida and Mullick, who came together when the visitors were precariously placed at 50 for 4, batted responsibly and added 186 runs for the fifth wicket.
However, after Parida and Mullick departed, the remaining Orissa batsmen could not last long and the team folded up for 349 for a lead of 189 runs. Saurashtra had made 160 in the first innings.
For the hosts, left-arm seamer Sandeep Jobanputra claimed six wickets for 126 runs while Sandeep Maniar bagged three wicket for 108 runs.
Brief Scores: Saurashtra 160 and 21 for two. Orrisa 349 (P Mullick 123, R R Parida 96).